Offshore Job

Can a Tier-1 (General) candidate take up an offshore job assignment without affecting the ILR requirement ? The potential job offered by a company based and head-quartered in the UK. The duty cycle is 28-days at their offices abroad (offshore) and returning on next 28 stay cycle in the UK to maintain home base and family in the UK. By maintaining home, the council tax will be paid. Thus, there will be an alternating cycle of 28 days outside the UK and 28 days inside the UK.